ISGuides: Mathematics: History of Maths Resources

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Lecture Notes in Mathematics
Call Number: Online
This series reports on new developments in all areas of mathematics and their applications - quickly, informally and at a high level. 1997 onwards available

Open Access and Free Books

Directory of Open Access Books
Searchable index to peer-reviewed monographs and edited collections published under an open access licence, with links to the full texts of the publications at the publisher’s website or repository.
AMS Books and Resources
A selection of free books and resources from the American Mathematical Society focusing on the history of mathematics
European Mathematical Information Service
Central portal for electronic math resources in Europe. Includes books, journals, proceedings and other resources.

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The Story of Maths (BBC 4 series)

Episode 1: The Language of the Universe
Episode 2: The Genius of the East
Episode 3: The Frontiers of Space
Episode 4: To Infinity and Beyond
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Very Short Introduction

The History of Mathematics: A Very Short Introduction by Stedall, J.
Call Number: Online
ISBN: 9780199599684
Publication Date: 2012

General History

Concise History of Mathematics by Dirk J. Struik INTRODUCTION
I. THE BEGINNINGS
II. THE ANCIENT ORIENT
III. GREECE
IV. THE ORIENT AFTER THE DECLINE OF GREEK SOCIETY
V. THE BEGINNINGS IN WESTERN EUROPE
VI. THE SEVENTEENTH CENTURY
VII. THE EIGHTEENTH CENTURY
VIII. THE NINETEENTH CENTURY
IX. THE FIRST HALF OF THE TWENTIETH CENTURY
Call Number: print
ISBN: 0486602559
Publication Date: 1954
Excursions in the History of Mathematics by Israel Kleiner A. Number Theory
1. Highlights in the History of Number Theory: 1700 BC - 2008
2. Fermat: The Founder of Modern Number Theory
3. Fermat's Last Theorem: From Fermat to Wiles.- B. Calculus/Analysis.
4. A History of the Infinitely Small and the Infinitely Large in Calculus, with Remarks for the Teacher
5. A Brief History of the Function Concept
6. More on the History of Functions, Including Remarks on Teaching
7. Highlights in the Practice of Proof: 1600 BC - 2009
8. Paradoxes: What are they Good for?
9. Principle of Continuity: 16th - 19th centuries
10. Proof: A Many-Splendored Thing.- D. Courses Inspired by History
11. Numbers as a Source of Mathematical Ideas
12. History of Complex Numbers, with a Moral for Teachers
13. A History-of-Mathematics Course for Teachers, Based on Great Quotations
14. Famous Problems in Mathematics.- E. Brief Biographies of Selected Mathematicians.
15. The Biographies.- Index.
Call Number: eBook
ISBN: 0817682678
Publication Date: 2012
A History of Mathematics by Victor J. Katz Table of Contents
I. MATHEMATICS BEFORE THE SIXTH CENTURY.

Ancient Mathematics.
The Beginnings of Mathematics in Greece.
Archimedes and Apollonius.
Mathematical Methods in Hellenistic Times.
The Final Chapters of Greek Mathematics.
II. MEDIEVAL MATHEMATICS: 500-1400.

Medieval China and India.
The Mathematics of Islam.
Mathematics in Medieval Europe.
Mathematics Around the World.
III. EARLY MODERN MATHEMATICS: 1400-1700.

Algebra in the Renaissance.
Mathematical Methods in the Renaissance.
Geometry, Algebra, and Probability in the Seventeenth Century.
The Beginnings of Calculus.
IV. MODERN MATHEMATICS: 1700-2000.

Analysis in the Eighteenth Century.
Probability, Algebra, and Geometry in the Eighteenth Century.
Algebra in the Nineteenth Century.
Analysis in the Nineteenth Century.
Geometry in the Nineteenth Century.
Aspects of the Twentieth Century.
Answers to Selected Problems.
General References in the History of Mathematics.
Index and Pronunciation Guide.
Call Number: print
ISBN: 9780321387004
Publication Date: 2008
A History of Mathematics by Carl B. Boyer Origins.
Egypt.
Mesopotamia.
Ionia and the Pythagoreans.
The Heroic Age.
The Age of Plato and Aristotle.
Euclid of Alexandria.
Archimedes of Syracuse.
Apollonius of Perga.
Greek Trigonometry and Mensuration.
Revival and Decline of Greek Mathematics.
China and India.
The Arabic Hegemony.
Europe in the Middle Ages.
The Renaissance.
Prelude to Modern Mathematics.
The Time of Fermat and Descartes.
A Transitional Period.
Newton and Leibniz.
The Bernoulli Era.
The Age of Euler.
Mathematicians of the French Revolution.
The Time of Gauss and Cauchy.
Geometry.
Analysis.
Algebra.
Poincare and Hilbert.
Aspects of the Twentieth Century.
References.
General Bibliography.
Appendix.
Index.
Call Number: print
ISBN: 9780471543978
Publication Date: 1991
History of Mathematics by J. F. Scott
ISBN: 0064961303
Publication Date: 1975
A History of Mathematics by Luke Hodgkin Introduction
1: Babylonian mathematics
2: Greeks and 'Origins'
3: Greeks, practical and theoretical
4: Chinese mathematics
5: Islam, neglect and discovery
6: Understanding the 'Scientific Revolution'
7: The Calculus
8: Geometries and Space
9: Modernity and its Anxieties
10: A Chaotic End?
Bibliography
Index
Call Number: print
ISBN: 9780198529378
Publication Date: 2005
An Introduction to the History of Mathematics by Howard W. Eves
Call Number: print
ISBN: 0030295580
Publication Date: 1964
Mathematics: A Concise History and Philosophy by W. S. Anglin 1 Mathematics for Civil Servants
2 The Earliest Number Theory
3 The Dawn of Deductive Mathematics
4 The Pythagoreans
5 The Pythagoreans and Perfection
6 The Pythagoreans and Polyhedra
7 The Pythagoreans and Irrationality
8 The Need for the Infinite
9 Mathematics in Athens Before Plato
10 Plato
11 Aristotle
12 In the Time of Eudoxus
13 Ruler and Compass Constructions
14 The Oldest Surviving Math Book
15 Euclid’s Geometry Continued
16 Alexandria and Archimedes
17 The End of Greek Mathematics
18 Early Medieval Number Theory
19 Algebra in the Early Middle Ages
20 Geometry in the Early Middle Ages
21 Khayyam and the Cubic
22 The Later Middle Ages
23 Modern Mathematical Notation
24 The Secret of the Cubic
25 The Secret Revealed
26 A New Calculating Device
27 Mathematics and Astronomy
28 The Seventeenth Century
29 Pascal
30 The Seventeenth Century II
31 Leibniz
32 The Eighteenth Century
33 Lagrange
34 Nineteenth-Century Algebra
35 Nineteenth-Century Analysis
36 Nineteenth-Century Geometry
37 Nineteenth-Century Number Theory
38 Cantor
39 Foundations
40 Twentieth-Century Number Theory
Call Number: print
ISBN: 0387942807
Publication Date: 1996
Mathematics and Its History by John Stillwell The Theorem of Pythagoras
Greek Geometry
Greek Number Theory
Infinity in Greek Mathematics
Number Theory in Asia
Polynomial Equations
Analytic Geometry
Projective Geometry
Calculus
Infinite Series
The Number Theory Revival
Elliptic Functions
Mechanics
Complex Numbers in Algebra
Complex Numbers and Curves
Complex Numbers and Functions
Differential Geometry
Non-Euclidean Geometry
Group Theory
Hypercomplex Numbers
Algebraic Number Theory
Topology
Simple Groups
Sets, Logic, and Computation
Combinatorics
Call Number: eBook
ISBN: 9781441960535
Publication Date: 2010
Mathematics and the Historian's Craft by Glen Van Brummelen; Michael Kinyon Introduction: The Birth and Growth of a Community
History or Heritage? An Important Distinction in Mathematics and for Mathematics Education
Ptolemy’s Mathematical Models and their Meaning
Mathematics, Instruments and Navigation, 1600-1800
Was Newton’s Calculus a Dead End? The Continental Influence of Maclaurin’s Treatise of Fluxions
The Mathematics and Science of Leonhard Euler (1707-1783)
Mathematics in Canada before 1945: A Preliminary Survey
The Emergence of the American Mathematical Research Community
19th Century Logic Between Philosophy and Mathematics
The Battle for Cantorian Set Theory
Hilbert and his Twenty-Four Problems
Turing and the Origins of AI,
Mathematics and Gender: Some Cross-Cultural Observations
Call Number: eBook
ISBN: 9780387282725
Publication Date: 2005
Sherlock Holmes in Babylon and Other Tales of Mathematical History by Marlow Anderson (Editor); Victor Katz (Editor); Robin Wilson Part I. Ancient Mathematics
Sherlock Holmes in Babylon
Words and pictures: new light on Plimpton 322
Mathematics 600 BC–600 AD
Diophantus of Alexandria; Hypatia of Alexandria
Hypatia and her mathematics
The evolution of mathematics in ancient China, Liu Hui and the first golden age of Chinese mathematics
Number systems of the North American Indians
The number systems of the Mayas
Before the conquest

Part II. Medieval and renaissance mathematics
The discovery of the series formula for π
Ideas of calculus in Islam and India
Was calculus invented in India?
An early iterative method for the determination of sin 1º
Leonardo of Pisa and his liber quadratorum
The algorists vs. the abacists: an ancient controversy on the use of calculators
Sidelights on the Cardan-Tartaglia controversy
Reading Bombelli's x-purgated algebra
The first work on mathematics printed in the New World

Part III. The Seventeenth Century
An application of geography to mathematics: history of the integral of the secant
Some historical notes on the cycloid
Descartes and problem-solving
Rene Descartes' curve-drawing devices: experiments in the relations between mechanical motion and symbolic language
Certain mathematical achievements of James Gregory
The changing concept of change: the derivative from Fermat to Weierstrauss
The crooked made straight: Roberval and Newton on tangents
On the discovery of the logarithmic series and its development in England up to Cotes
Isaac Newton: man, myth, and mathematics
Reading the master: Newton and the birth of celestial mechanics
Newton as an originator of polar coordinates
Newton's method for resolving affected equations
A contribution of Leibniz to the history of complex numbers
Functions of a curve: Leibniz's original notion of functions and its meaning for the parabola;

Part IV. The Eighteenth Century
Brook Taylor and the mathematical theory of Linear Perspective
Was Newton's calculus a dead end? The continental influence of Maclaurin's treatise of fluxions
Discussion of fluxions: from Berkeley to Woodhouse
The Bernoulli and the harmonic series
Leonhard Euler 1707–1783
The number
Euler's vision of a general partial differential calculus for a generalized kind of function
Euler and the fundamental theorem of algebra
Euler and the differentials
Euler and quadratic reciprocity
Call Number: print
ISBN: 0883855461
Publication Date: 2004-08-31
A Short Account of the History of Mathematics by W. W. Rouse Ball
Call Number: print
ISBN: 0486206300
Publication Date: 1960